College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 45

Answer

$(2x-15)\sqrt{2x}$

Work Step by Step

We simplify: $\sqrt{8x^3}-3\sqrt{50x}=\sqrt{4*2x^2x}-3\sqrt{25*2x}=2x\sqrt{2x}-3*5\sqrt{2x}=2x\sqrt{2x}-15\sqrt{2x}=(2x-15)\sqrt{2x}$
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